75823777920 has 256 divisors, whose sum is σ = 272167464960. Its totient is φ = 17788416000.

The previous prime is 75823777901. The next prime is 75823777949. The reversal of 75823777920 is 2977732857.

It is a happy number.

It is a super-2 number, since 2×75823777920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596815 + ... + 712625.

It is an arithmetic number, because the mean of its divisors is an integer number (1063154160).

Almost surely, 2^75823777920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75823777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136083732480).

75823777920 is an abundant number, since it is smaller than the sum of its proper divisors (196343687040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75823777920 is a wasteful number, since it uses less digits than its factorization.

75823777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115875 (or 115863 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 75823777920 in words is "seventy-five billion, eight hundred twenty-three million, seven hundred seventy-seven thousand, nine hundred twenty".